Answer:
D. -1.44 and 2.44
Step-by-step explanation:
[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]
is equal to:
[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]
•◇•◇○◇•◇•
➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]
➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]
➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]
➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]
➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]
2.8 2.08 and 2.008 in order
Answer:
2.008, 2.08, 2.8
Step-by-step explanation:
You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
The set S = {x\-4 Plz help ASAP
Answer:
[ - 4, 8 ]
Step-by-step explanation:
parenthesis ( ) is used when end values are not equal to x
brackets [ ] are used when the end values are equal to x
For - 4 ≤ x ≤ 8
Then x can equal both - 4 and 8 , so
[ - 4, 8 ] ← is the appropriate interval notation
what is an expression for...
4x + 4x + 4x + 4x + 4x + 4x
Answer:
24x
Step-by-step explanation:
4x + 4x + 4x + 4x + 4x + 4x
=> 4(x + x + x + x + x + x)
=> 4(6x)
=> 24x
The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The equation for line y1 is 3x - 4 The slope is the coefficient of x, which is 3. That means the slope of line y2 is -1/3, because it's the negative reciprocal. As for the y-intercept, just look for the point on the y-axis that the line intercepts. If we look closely, we can see it intercepts point (0,4) on the y-axis. Therefore, the slope-intercept form equation for line y2 is: y = -1/3x + 4.
Answer:
y=5-x/3
Step-by-step explanation:
Squere root of 23 is between which two consecutive integers ?
Answer:
4 and 5
Step-by-step explanation:
4^2 = 16
5^2 = 25
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
Someone help please
1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees
Answer:
A
Step-by-step explanation:
This uses the sine law.
Sin(theta)/113 = sin(42)/120 Multiply both sides by 113
sin(theta) = 113*sin(42)/120
sin42 = 0.6691
sin(theta) = 113 * 0.6691 / 120
sin(theta) = 0.630008
theta = sin-1(0.63008)
theta = 39.1 Looks Like A
y more than 2 decreased by 8
Answer:
( y + 2 ) - 8
hope that helps uh..☺
cosA_1+sin1 + 1+sinA_cosA=2secA
Step-by-step explanation:
all steps are done in the picture
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP
alright I can help!!
so slope intercept form is y= mx +b
20y=16x+120
y=(16x+120)/20
final answer: y=(4/5)x +6
Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks
Answer:
$210
Step-by-step explanation:
$300 - (5 x 18)
= 300 - 90
= $210
Date: / ot of so from the tind the value proportion:x: 35:98:60. 2
Answer:
jsjsjsjjejejejsjsisj
sjjsjskzij
Step-by-step explanation:
gwhshs
Help please and thank you (Algebra 1)
Answer:
17x² - 22x - 2
Step-by-step explanation:
Given
(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis
= 5x² + 6x - 2 + 12x² - 28x ← collect like terms
= 17x² - 22x - 2
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
What is 10 x 0.018?
0.18
1.8
18
180
Answer:
0.18
Step-by-step explanation:
hope this helps
Answer:
0.18
Step-by-step explanation:
multiply them together
Estimate the value of 13−−√. Between which two whole numbers?
Answer:
Step-by-step explanation:
I guess you mean √13.
3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.
3.5^2 = 3*4 + 0.25 = 12.25 so it looks like its about 3.6.
CORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).
Answer: Choice C. f(x) and g(x) have a common x intercept.
Explanation:
The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.
The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.
This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.
What is an Equation that m=2
Answer:
5+5m=15
Step-by-step explanation:
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
Learn more about Equation:
https://brainly.com/question/2263981
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I neeed Help it easy
А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score
Answer:
24.54°Step-by-step explanation:
The three segments make a triangle with sides 6, 7 and 12 m.
We need to find the angle opposite to side 7 m.
Use the low of cosines to work out the angle x:
cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?
Answer:
well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6
Step-by-step explanation:
so just add 4.2 or 5.6 to hours and you will get you question at what time he left
Solve for y. Simplify your answer as much as possible.
4=64/y
Answer:
y=16
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Re-order terms so that constants are on the left
Divide both sides of the equation by the same term
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
Answer:
y is 16
Step-by-step explanation:
[tex]4 = \frac{64}{y} [/tex]
but 64 is 4³:
[tex]4 = \frac{ {4}^{3} }{y} [/tex]
make y the subject:
[tex]y = \frac{ {4}^{3} }{4} [/tex]
from law of indices:
[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]
solve the equation
4(2^m+1)-16^m=0
[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]
[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]
take 4common[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]
[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]
[tex]\\ \rm\longmapsto 2^m=4^m[/tex]
[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]
[tex]\\ \rm\longmapsto 2^m=m[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]
I need answers asap!!!!!!!
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
write each fraction number as a decimal 2 1/8
Answer:
2 1/8 as a decimal is 2.125
Step-by-step explanation:
Answer:
2.125
Step-by-step explanation:
To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.
12a+5b-3c, 6c-5a+8b, -8b+5c-7a
Answer:
11c-12a
Step-by-step explanation
Combine like terms
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW